[0,1,2,1,2,1,2,1,2,3,1,2,3,2,3,2,3,2,4,2,3,4,3,5,2,3,4,3,4,3,4,1,2,3,2,3,2,3,2,3,4,1,2,3,2,3,2,3,2,3,4,2,3,4,3,4,3,4,3,5,3,4,5,4,6,3,4,5,4,5,4,5,2,3,4,3,4,3,4,3,5,3,4,3,4,5,4,6,4,5,3,4,5,4,5,1,2,3,2,3,2,3,2,3,4,2]